Optimal Location of the Terminal Station of Rapid Transit System in a Circular City with Radial-Circular Network

Osamu Kurita¹* and Ken-ichi Tanaka²

¹Graduate School of Science and Technology, Keio University, 3-14-1 Hiyoshi, Kohoku-ku, Yokohama 223-8522, Japan
²Department of Systems Engineering, The University of Electro-Communications, 1-5-1 Chofugaoka, Chofu-shi, Tokyo 182-8585, Japan
*E-mail address: kurita@ae.keio.ac.jp

(Received May 30, 2008; Accepted October 27, 2008)

Abstract. This paper presents a simple geometric model of rapid transit system which provides a direct access to a particular destination such as an airport located outside the city area. The time to access the airport is the combination of the time to the terminal station using intra-city transportation and the time to the airport using the rapid transit system. Two problems concerning the optimal location of the terminal station are considered: minimization of the average access time and maximization of the number of users accessible to the airport within a given time. In the minimization problem, the optimal location of the terminal station is explicitly derived as a function of the speed ratio of the intra-city transportation and the rapid transit system.

Keywords: Optimal Location, Rapid Transit System, Radial-Circular Network